Inverse problem for the identification of Chaos representations of random fields using experimental vibrational tests

Christophe Desceliers (1) , Christian Soize (1) , R. Ghanem (2)

1 LaM - Laboratoire de Mécanique
2 USC - Department of aerospace and mechanical engineering

This paper deals with the experimental identification of the probabilistic representation of a random field modeling the Young modulus of a non homogeneous isotropic elastic medium by experimental vibration tests. The random field representation is based on the polynomial chaos decomposition. The coefficients of the polynomial chaos are identified setting an inverse problem and then in solving an optimization problem related to the maximum likelihood principle.

Mots clés: uncertainty quantification; statistical inverse method; poynimial chaos; maximum likelihood; random vibration; uncertain dynamical systems

Domaines: Statistiques [math.ST]; Théorie [stat.TH]; Probabilités [math.PR]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Christophe Desceliers, Christian Soize, R. Ghanem. Inverse problem for the identification of Chaos representations of random fields using experimental vibrational tests. International Conference on Noise and Vibration Engineering (ISMA2006), Katholieke Universiteit Leuven, Sep 2006, Leuven, Belgium. pp.4117-4123. ⟨hal-00686204⟩